Model 5 Split & Fraction of work Practice Questions Answers Test with Solutions & More Shortcuts
time & work PRACTICE TEST [7 - EXERCISES]
Model 1 Basics on Time & Work
Model 2 Formula method ‘M1D1W1 = M2D2W2’
Model 3 Man leaves & joins
Model 4 Working with Man, Woman, Child
Model 5 Split & Fraction of work
Model 6 Efficiency of the worker
Model 7 Working with individual wages
Question : 16 [SSC CHSL 2010]
P can complete $1/4$ of a work in 10 days, Q can complete 40% of the same work in 15 days, R, completes $1/3$ of the work in 13 days and S, $1/6$ of the work in 7 days. Who will be able to complete the work first ?
a) Q
b) P
c) S
d) R
Answer »Answer: (a)
Time taken by P in completing 1 work
= 10 × 4 = 40 days
Time taken by Q in completing 1 work
= ${15 × 5}/2 = 75/2$ days
Time taken by R in completing 1 work
= 13 × 3 = 39 days
Time taken by S in completing 1 work
= 7 × 6 = 42 days
Clearly, Q took the least time i.e. $75/2$ or 37${1}/2$ days.
Question : 17 [SSC CGL Tier-1 2011]
A does half as much work as B in three- fourth of the time. If together they take 18 days to complete a work, how much time shall B take to do it alone?
a) 35 days
b) 30 days
c) 45 days
d) 40 days
Answer »Answer: (b)
Using Rule 2,
Let B completes the work in x days.
Work done by A in ${3x}/4$ days = $1/2$
Time taken by A in completing the work = $2 × {3x}/4 = {3x}/2$ days
(A + B)’s 1 day’s work
= $1/x + 2/{3x} = {3 + 2}/{3x} = 5/{3x}$
$5/{3x} = 1/18$ ⇒ 3x = 90 ⇒ x = 30
Hence, time taken by B in completing the work = 30 days
Question : 18 [SSC CGL Prelim 2007]
A contractor undertook to complete a project in 90 days and employed 60 men on it. After 60 days, he found that $3/4$ of the work has already been completed. How many men can he discharge so that the project may be completed exactly on time ?
a) 20
b) 40
c) 15
d) 30
Answer »Answer: (a)
Using Rule 1,
Days | Work | Men |
60 | $3/4$ | 60 |
↑ | ↓ | ↓ |
30 | $1/4$ | x |
∴ ${30 : 60}/{3/4 : 1/4}]$ : : 60 : x
$30 × 3/4 × x = 60 × 1/4 × 60$
$x = {60 × 60}/{30 × 3}$ = 40
Question : 19 [SSC CGL Tier-I 2016]
A, B and C contract a work for Rs. 440. A and B together are to do $9/11$ of the work. The share of C should be :
a) Rs. 90
b) Rs. 75
c) Rs. 80
d) Rs. 100
Answer »Answer: (c)
Work done by A and B together = $9/11$ parts
Work done by C = $1 - 9/11 = 2/11$ parts
Total amount = Rs. 440
∴ C’s share = Rs.$(2/11 × 440)$ = Rs.80
Question : 20 [SSC CGL Tier-I 2016]
A and B together can complete a work in 24 days. B alone does $1/3$ rd part of this work in 12 days. How many days will A alone take to complete the remaining work?
a) 36 days
b) 24 days
c) 72 days
d) 48 days
Answer »Answer: (d)
B completes $1/3$ work in 12 days.
B will complete 1 work in 12 × 3 = 36 days.
B’s 1 day’s work = $1/36$
(A + B)’s 1 day’s work = $1/24$
A’s 1 day’s work = $1/24 - 1/36$
= ${3 - 2}/72 = 1/72$
Time taken by A in doing 1work = 72 days
∴ Remaining work
= $1 - 1/3 = 2/3$
Time taken by A in doing $2/3$ work
= $2/3$ × 72 = 48 days
IMPORTANT quantitative aptitude EXERCISES
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Top 199+ Basic Time and Work Aptitude MCQs with Answers »
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Top 200+ Time and Work Problem Solving By Formula Method »
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New 189+ Time & Work MCQs Practice Test for BANK Exams »
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Top 199+ Time & Work MCQs: Men Women Child for BANK Exam »
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Top 199+ Time and Work Questions Test on Fraction of Work »
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Top 199+ Time and Work Efficiency Based Aptitude MCQ Quiz »
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New 299+ Time and Work Aptitude Test On Individual Wages »
Model 5 Split & Fraction of work Shortcuts »
Click to Read...Model 5 Split & Fraction of work Online Quiz
Click to Start..time & work Shortcuts and Techniques with Examples
-
Model 1 Basics on Time & Work
Defination & Shortcuts … -
Model 2 Formula method ‘M1D1W1 = M2D2W2’
Defination & Shortcuts … -
Model 3 Man leaves & joins
Defination & Shortcuts … -
Model 4 Working with Man, Woman, Child
Defination & Shortcuts … -
Model 5 Split & Fraction of work
Defination & Shortcuts … -
Model 6 Efficiency of the worker
Defination & Shortcuts … -
Model 7 Working with individual wages
Defination & Shortcuts …
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